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3 years ago

Stuck on this one, help asap please

Mathematics

1 answer:

Svet_ta [14]3 years ago

3 0

Answer:

Tan B = 24/10 = 12/5

Step-by-step explanation:

Tangent is opposite/adjacent. The side opposite of B is 24 and adjacent to that is 10.

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Determine the slope of the line 5x + 3y + 12 = 0 .

vazorg [7]

Put ur equation in y = mx + b form because the slope will be in the m position.

5x + 3y + 12 = 0
3y = -5x - 12
y = -5/3x - 4

y = mx + b
y = -5/3x + (-4)......as u can see, the number in the m position (the slope) is -5/3 <===

6 0

2 years ago

A cube has volume 216cm find total surface area of cube

Katena32 [7]

Answer:

Answer: 216 cm2 (square centimetres $cm^{2}$ , in your question you had to put cm3, cubic centimetres, it's IMPORTANT )

Step-by-step explanation:

A perfect cube by definition has 3 equal dimensions, as an immediate rule: volume and total surface are equal, only the unit of measure changes (cubic for the volume, square for surface).

But let's calculate it anyway:

Volume = Edge * Edge * Edge = length * width * depth = $Edge^{3}$ (remember: all edges are equal in this case)

so Edge = $\sqrt[3]{Volume}$

in your example Edge = $\sqrt[3]{216}$ = 6cm

So the surface of one side is 6*6 = 36 $cm^{2}$

There are 6 sides in total, so the total surface is 6*36 = 216 $cm^{2}$

Note: I call them "edges" but in case of a cube most say just "length"

3 0

2 years ago

An arithmetic sequence with a thrid term of 8 and constant difference of 5

olga nikolaevna [1]

$\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
d=5\\
a_3=8\\
n=3
\end{cases}
\\\\\\
a_3=a_1+(3-1)5\implies 8=a_1+(2)5\implies 8=a_1+10
\\\\\\
\boxed{-2=a_1}
\\\\\\
a_n=-2+(n-1)5$

8 0

3 years ago

Xkslgmvkdkskfnfjndngkckgkdks

NeX [460]

X-3=66
x=69

69+41+(y-9)=180
110+y-9=180
101+y=180
y=79

7 0

3 years ago

Which of the following describes a situation in which the total distance a hockey player travels is 0 meter from his starting po

Irina-Kira [14]

Answer:

D. The player skates 12 m forward and then skates 12 m in the opposite direction.

Step-by-step explanation:

The player skates 12 m forward then back 12 m which means he is back to his starting point. :)

6 0

2 years ago